The space shuttle is in a 150km-high circular orbit. It needs to reach a 560km-high circular orbit to catch the Hubble Space Telescope for repairs. The shuttle's mass is 7.00×10^4kg.

How much energy is required to boost it to the new orbit?

In the original orbit, I calculated the shuttle's Ug = -(GMeMs) / r = -(6.67x10^-11 x Me x Ms) / (6370 + 150) = 4.28x10^15. I then calculated Ugfinal (when the shuttle is in the new orbit. I found this Ug = 4.029 x 10^15. I'm not sure if these Ug's are correct or what to do with them.

Slow down and your orbit will decrease.you need to speed up to climb to 560 km. orbit. That kinetic energy of the earth stays about the same but the shuttle needs more .so... Ov equals Amt. Needed to achieve + exististing kinetic energy ..or an unequal amount. See?